105740057 has 2 divisors, whose sum is σ = 105740058. Its totient is φ = 105740056.

The previous prime is 105740029. The next prime is 105740071. The reversal of 105740057 is 750047501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 86564416 + 19175641 = 9304^2 + 4379^2 .

It is a cyclic number.

It is not a de Polignac number, because 105740057 - 2¹² = 105735961 is a prime.

It is a super-2 number, since 2×105740057² = 22361919308726498, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (105740027) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52870028 + 52870029.

It is an arithmetic number, because the mean of its divisors is an integer number (52870029).

Almost surely, 2^105740057 is an apocalyptic number.

It is an amenable number.

105740057 is a deficient number, since it is larger than the sum of its proper divisors (1).

105740057 is an equidigital number, since it uses as much as digits as its factorization.

105740057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4900, while the sum is 29.

The square root of 105740057 is about 10282.9984440337. The cubic root of 105740057 is about 472.8751732252.

Adding to 105740057 its reverse (750047501), we get a palindrome (855787558).

It can be divided in two parts, 1057 and 40057, that added together give a palindrome (41114).

The spelling of 105740057 in words is "one hundred five million, seven hundred forty thousand, fifty-seven".